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Finding the Fourth Proportional to 553.14, 830.12 and 293.22

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Solution

The fourth proportional to 553.14, 830.12 and 293.22 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 830.12 = 293.22 : x
  2. Step 2: Convert to fraction form
    553.14/830.12 = 293.22/x
  3. Step 3: Cross multiply
    553.14x = 830.12 × 293.22
  4. Step 4: Simplify right side
    553.14x = 243,406.32
  5. Step 5: Solve for x
    x = 243,406.32/553.14
  6. Step 6: Final answer
    x = 440.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.